1456135256000 has 112 divisors (see below), whose sum is σ = 3618957712032. Its totient is φ = 580380416000.

The previous prime is 1456135255951. The next prime is 1456135256021. The reversal of 1456135256000 is 6525316541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924127 + ... + 2571873.

Almost surely, 2^{1456135256000} is an apocalyptic number.

1456135256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456135256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809478856016).

1456135256000 is an abundant number, since it is smaller than the sum of its proper divisors (2162822456032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1456135256000 is an equidigital number, since it uses as much as digits as its factorization.

1456135256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648055 (or 648035 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 1456135256000 in words is "one trillion, four hundred fifty-six billion, one hundred thirty-five million, two hundred fifty-six thousand".